AP Calculus AB Review Sheet 1

Equals

• _a∫^c f(x)dx

• _a∫^b f(x)dx

• _b∫^c f(x)dx

• _c∫^a f(x)dx

Equals

• ∫ f(x)dx

• cx∫ f(x)dx

• c∫f(x)dx

• (1/c)∫f(x)dx

equals

• f(x)

• f(x) + C

• f '(x)

• f '(x) +C

• Volume using Washers
• Volume using Disks
• Volume using Shells
• Volume using Cross Sections

• Volume using Shells
• Volume using Disks
• Volume using Washers
• Volume using Cross Sections

Equals

• _d∫^cf(x)dx

• - _d∫^cf(x)dx

• f(d) - f(c)

• f(c) - f(d)

• Intermediate Value Theorem
• Rolle's Theorem
• Average Rate of Change
• Average Value of f

• Average Rate of Change
• Average Value of f
• Intermediate Value Theorem
• Rolle's Theorem

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

If y = f(x)/g(x), then dy/dx =

• f '(x)⋅g(x) + f(x)⋅g'(x)

• f '(x)⋅g(x) - f(x)⋅g'(x)

• [f '(x)⋅g(x) + f(x)⋅g'(x)] / [g(x)]²

• [f '(x)⋅g(x) - f(x)⋅g'(x)] / [g(x)]²